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Proof step 48 from proof inv-format (previous step)

awbuf-inv(fill(mkavolume(m3), unmapped), nobuffer), freelist-cons(fill(mklparray(m3), mklp(0, 0, LP_FREE, 0)), freelist), synced(fill(mkavolume(m3), unmapped)) ⊦ lpt-leb-size(fill(mklparray(m3), mklp(0, 0, LP_FREE, 0)))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 49:
⊦ lpt-leb-size(lpt) ↔ (∀ n. n < # lpt → lpt[n].size ≤ LEB_SIZE)

Rule argument

spec: persistence-base name: lpt-leb-size seq: ⊦ lpt-leb-size(lpt) ↔ (∀ n. n < # lpt → lpt[n].size ≤ LEB_SIZE) subst: [lpt] → [fill(mklparray(m3), mklp(0, 0, LP_FREE, 0))] flags: <all paths>

Additional information

Used simplifier rules: ⊦ # fill(lpt, lp) = # lpt; (s)% ⊦ # mklparray(n) = n; (s)% ⊦ m < n → fill(mklparray(n), lp)[m] = lp; (s)% ⊦ mklp(n2, n3, lpf, m).size = n3; (s)% ⊦ 0 ≤ m; (s) Used terms: fill(mklparray(m3), mklp(0, 0, LP_FREE, 0))